Answer
$X_{0.975}^2=10.283$
$X_{0.025}^2=35.479$
Work Step by Step
$n=22$. So:
$d.f.=n-1=21$
$level~of~confidence=(1-α).100$%
$95$% $=(1-α).100$%
$0.95=1-α$
$α=0.05$
$X_{1-\frac{α}{2}}^2=X_{0.975}^2=10.283$
(According to Table VII, for d.f. = 21 and area to the right of the critical value = 0.975)
$X_{\frac{α}{2}}^2=X_{0.025}^2=35.479$
(According to Table VII, for d.f. = 21 and area to the right of the critical value = 0.025)